All categories

3 years ago

What is the value of n in the equation 3n + 2(n + 2) = 9n + 12? −4 −2 2 4

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

Answer:

-2

Step-by-step explanation:

3n+2n+4=9n+12

5n+4=9n+12

5n-9n=-4+12

-4n=8

n=8/-4

n= -2

You might be interested in

Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in ord

e-lub [12.9K]

The decomposition of the parallelogram into triangle then into a rectangle is shown below

The measurement we need to calculate the area is the length and the width of the rectangle; 15 feet and 10 feet

Area = 15 × 10 = 150 feet²

4 0

3 years ago

Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th

vivado [14]

The value of tangent theta is equal to the negative 1. At this value the value of secant theta is $\sqrt{2}$ .

<h3>What is tangent theta?</h3>

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

Given information-

The value of tangent theta is equal to the negative 1.

$\tan \theta=-1$

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

$\rm -1=\dfrac{sin \theta}{cos \theta}\\$

Simplify it further as,

$\rm -cos \theta=sin \theta$

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of $\dfrac{7\pi}{4}$ . Which extent to the $\sqrt{2}/2$ for the cosine function.

In the trigonometry cosine theta is the reciprocal of the secant theta. Thus,

$\rm \dfrac{1}{sec\theta}=\dfrac{\sqrt{2}}{2}\\sec\theta=\sqrt{2}$

Thus the value of secant theta is $\sqrt{2}$

Learn more about the tangent theta here;

brainly.com/question/29190

4 0

2 years ago

Read 2 more answers

Please help asap 25 pts

beks73 [17]

$y=ax^2+bx+c\\\\\text{Axis of symmetry:}\ x=\dfrac{-b}{2a}$

$\text{We have:}\\\\y=4x^2+16x-18\\\\a=4;\ b=16;\ c=-18\\\\x=\dfrac{-16}{2\cdot4}=\dfrac{-16}{8}=-2$

Answer: A.

6 0

3 years ago

The distance from Rodney's house to the park is 100 meters. If he walks to the park and back to his house, how far will he have

konstantin123 [22]

Answer:

c. 20,000cm

Step-by-step explanation:

from is house to the park is 100m

from the park back to his house is another 100m

100m+100m=200m

1m = 100cm

200m = xcm

cross multiply

xcm = 200×100

xcm= 20,000cm

3 0

3 years ago

What is the answer to. Write a polynomial equation with integer coefficients that has the given roots, x=7 and x=-5

rewona [7]

$\bf \begin{cases}
x=7\implies &x-7=0\\
x=-5\implies &x+5=0
\end{cases}\implies (x-7)(x+5)=\stackrel{original}{polynomial}
\\\\\\
x^2-2x-35=y\implies 1x^2-2x-35=y$

7 0

3 years ago